# Particle in Expanded 1D Box

1. Feb 1, 2009

### opuktun

1. The problem statement, all variables and given/known data
A particle was originally in a 1D potential box of length L and in its ground state. However, the walls of the box expanded symmetrically to 2L suddenly. Calculate the probability of the particle remaining in its ground state.

2. Relevant equations
$$\psi$$(x) = $$\sqrt{\frac{2}{L}}$$ sin ($$\frac{n\pi x}{L}$$)

3. The attempt at a solution
When I checked https://www.physicsforums.com/showthread.php?t=68816", the answer seems to be (8/3pi)^2... Can anyone guide me as to what is wrong with my working?

Please pardon my handwriting...

Thanks!

Last edited by a moderator: Apr 24, 2017 at 10:49 AM
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?